One of the main reasons we have the custom of giving and receiving presents at Christmas, is to remind us of the presents given to Jesus by the Wise Men: Frankincense, Gold and Myrrh.
Christmas itself is really about a big present that God gave the world about 2000 years ago - Jesus! One of the most famous Bible verses, John 3:16, says: 'God loved the world so much, that he gave his one and only Son, so that whoever believes in him may not be lost but have eternal life.'.
All over the world, families and friends give presents to each other. Most children around the world believe in a Christmas gift bringer. It's often St. Nicholas, Santa Claus or Father Christmas.
These presents are left in different places! In the USA presents are left in stockings, often hanging by a fire place. In many countries, presents for friends and family may be left under the Christmas Tree.